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Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)

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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.

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CCSS Math Answers

Eureka Math Grade 5 Module 4 Lesson 9 Answer Key

Engage ny eureka math 5th grade module 4 lesson 9 answer key, eureka math grade 5 module 4 lesson 9 problem set answer key.

Question 1. Convert. Show your work using a tape diagram or an equation. The first one is done for you. a. \(\frac{1}{2}\) yard = 1\(\frac{1}{2}\) feet \(\frac{1}{2}\) yard = \(\frac{1}{2}\) × 1 yard = \(\frac{1}{2}\) × 3 feet = \(\frac{3}{2}\) feet = 1\(\frac{1}{2}\) feet

Eureka Math Grade 5 Module 4 Lesson 9 Problem Set Answer Key 1

Explanation: 1/3 foot = 1/3 * 1 foot = 1/3 * 12 inches = 12/3 = 4 inches

c. \(\frac{5}{6}\) year = ________ months Answer: 10 months

Explanation: 5/6 year = 5/6 * 1 year = 5/6 * 12 months = 60/6 months = 10 months

d. \(\frac{4}{5}\) meter = ________ centimeters Answer: 80 centimeters

Explanation: 4/5 m = 4/5 *1m = 4/5 * 100 cm = 400/5 = 80 cm

e. \(\frac{2}{3}\) hour = ________ minutes Answer: 40 minutes

Explanation: 2/3 hr = 2/3 * 1 hr = 2/3 * 60 = 120/3 min = 40 min

f. \(\frac{3}{4}\) yard = ________ inches Answer: 27 inches

Explanation: 3/4 yard = 3/4 * 1 yd = 3/4 * 36 inches = 108/4 inches = 27 inches

Question 2. Mrs. Lang told her class that the class’s pet hamster is \(\frac{1}{4}\) ft in length. How long is the hamster in inches? Answer: The hamster is 3 inches long

Explanation: 1/4 ft = 1/4 * 1 ft = 1/4 *12 inc = 3 inc

Question 3. At the market, Mr. Paul bought \(\frac{7}{8}\) lb of cashews and \(\frac{3}{4}\) lb of walnuts. How many ounces of cashews did Mr. Paul buy? Answer: 14 ounces of cashews.

Explanation: 7/8 lb = 7/8 *1 lb = 7/8 * 16 oz = 112 oz/8 = 14 oz Hence Mr paul bought 14 ounces of cashews.

b. How many ounces of walnuts did Mr. Paul buy? Answer: 12 ounces of walnuts.

Explanation: 3/4 lb = 3/4 * 1 lb = 3/4 * 16 oz = 48/4 oz = 12 oz. Hence Mr paul bought 12 ounces of walnuts.

c. How many more ounces of cashews than walnuts did Mr. Paul buy? Answer: 2 ounces.

Explanation: 14 oz – 12 oz = 2 oz Mr.paul bought 2 ounces more cashews than walnuts.

d. If Mrs. Toombs bought 1\(\frac{1}{2}\) pounds of pistachios, who bought more nuts, Mr. Paul or Mrs. Toombs? How many ounces more? Answer: 2 ounces more

Explanation: Mr paul = 14 oz + 12 oz = 26 oz Mrs. Toombs = 1 1/2 lb = 3/2 lb = 3/2 * 1 lb = 3/2 * 16 oz = 48/2 = 24 oz So 26 oz – 24 oz = 2oz. Hence Mr. paul bought more nuts than Mrs. Toombs. He bought 2 ounces more than she did.

Question 4. A jewelry maker purchased 20 inches of gold chain. She used \(\frac{3}{8}\) of the chain for a bracelet. How many inches of gold chain did she have left? Answer: She had 12 1/2 inches left.

Explanation: 8 units = 20 1 unit = 20/8 = 2 4/8 5 units = 2 4/8 + 2 4/8 + 2 4/8 + 2 4/8 + 2 4/8 = 10 20/8 = 12 4/8 = 12 1/2

Eureka Math Grade 5 Module 4 Lesson 9 Exit Ticket Answer Key

Question 1. Express 36 minutes as a fraction of an hour: 36 minutes = _______ hour Answer: 3/5

Explanation: 1 hr =60minutes take 36min /60 min=18/30 =9/15=3/5

Question 2. Solve. a. \(\frac{2}{3}\) feet = _______ inches Answer: 2 inches

Explanation: 2/3 feet = 2/3 * 12 inches = (2*12)/12 = 24/12 = 2 inches

b. \(\frac{2}{5}\) m = _______ cm Answer: 40 cm

Explanation: 2/5 m = 2/5 * 100 cm = (2*100)/5 = 40 cm

c. \(\frac{5}{6}\) year = _______ months Answer: 10 months

Explanation: 1 year = 12 months 5/6 year = 5/6 * 12 = (5*12)/6 = 10

Eureka Math Grade 5 Module 4 Lesson 9 Homework Answer Key

Question 1. Convert. Show your work using a tape diagram or an equation. The first one is done for you. a. \(\frac{1}{4}\) yard = 9 inches \(\frac{1}{4}\) yard = \(\frac{1}{4}\) × 1 yard = \(\frac{1}{4}\) × 36 inches = \(\frac{36}{4}\) inches = 9 inches

Eureka Math 5th Grade Module 4 Lesson 9 Homework Answer Key 50

Explanation: 1/6 * 12 =2 inches

c. \(\frac{3}{4}\) year = ________ months Answer: 9 inches

Explanation: 3/4 year = 3/4 * 12 months = (3*12)/4 = 9 inches

d. \(\frac{3}{5}\) meter = ________ centimeters Answer: 60 centimeters

Explanation: 3/5 m = 3/5 * 100 = (3*100)/5 = 60 centimeters

e. \(\frac{5}{12}\) hour = ________ minutes Answer: 25 minutes

Explanation: 5/12 hr = 5/12 * 60 minutes = (5*60)/12 = 25 minutes

f. \(\frac{2}{3}\) yard = ________ inches Answer: 24 inches

Explanation: 1 yard = 36 inches 2/3 yard = 2/3 * 36 inches = (2*36)/3 = 24 inches

Question 2. Michelle measured the length of her forearm. It was \(\frac{3}{4}\) of a foot. How long is her forearm in inches? Answer: The length of Michelle’s forearm is 9 inches

Explanation: 1 ft = 12 in length of Michelle’s forearm was 3/4 of a foot Now convert to inches 3/4 ft = 3/4 * 12 = 9 inc Therefore the length of Michelle’s forearm is 9 inches.

Question 3. At the market, Ms. Winn bought \(\frac{3}{4}\) lb of grapes and \(\frac{5}{8}\) lb of cherries. a. How many ounces of grapes did Ms. Winn buy? Answer: 12 ounces of grapes

Explanation: 3/4 lb = 3/4 * ounces = 3/4 * 1 lb =  3/4 * 16 ounces = 12 ounces

b. How many ounces of cherries did Ms. Winn buy? Answer: 10 ounces of cherries

Explanation: 5/8 lb = 5/8 * 1 lb = 5/8 * 16 ounces = 10 ounces

c. How many more ounces of grapes than cherries did Ms. Winn buy? Answer: There are 12 ounces of grapes and 10 ounces of cherries. Hence by doing the difference for both we can get more ounces of grapes than cherries. So 12 -10 = 2 ounces. Hence 2 more ounces of grapes than cherries.

d. If Mr. Phillips bought 1\(\frac{3}{4}\) pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more? Answer: Explanation: 1 3/4 pounds = 7/4 pounds 1 pound = 16 oz 7/4 pounds = 7/4 * 16 = 21 Ms.Winn bought 22 ounces of fruits and Mr. Phillips bought 21 ounces of fruit. Therefore, 1 ounce more fruits are there.

Question 4. A gardener has 10 pounds of soil. He used \(\frac{5}{8}\) of the soil for his garden. How many pounds of soil did he use in the garden? How many pounds did he have left? Answer: 3 3/4

Explanation: 5/8 *10 50/8 6 2/8 6 1/4 10 -6 1/4 Hence 3 3/4 pounds have left.

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  1. Weekly Homework Sheet 4th Grade

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  2. Unit 1 Lesson 5 Homework (Real Number System)

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  3. Lesson 5 Homework Practice Divide Integers Answer Key

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  4. Lesson 5 Homework Practice Appropriate Measures

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  5. Lesson 5 Homework Practice Percent Of Change

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  6. Eureka Math Lesson 5 Homework 4.2 Answer Key

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  2. Grade 1 Module 2 Lesson 5 Homework

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  4. Unit 5 Lesson 5 Homework Help

  5. Lesson 10.3 #,5 Homework, Math Go Grade 4

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    Eureka Math Grade 5 Module 4 Lesson 15 Problem Set Answer Key. Question 1. Solve. Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. The first one is done for you. b. 3 4 of 45 =. latex]\frac {3} {4} [/latex] of 45 = 35. c. 25 of 23 =.

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